What is the Least Common Multiple of 84693 and 84707?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 84693 and 84707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84693 and 84707, than apply into the LCM equation.

GCF(84693,84707) = 7
LCM(84693,84707) = ( 84693 × 84707) / 7
LCM(84693,84707) = 7174089951 / 7
LCM(84693,84707) = 1024869993

Least Common Multiple (LCM) of 84693 and 84707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84693 and 84707. First we will calculate the prime factors of 84693 and 84707.

Prime Factorization of 84693

Prime Factorization of 84707

Now multiplying the highest exponent prime factors to calculate the LCM of 84693 and 84707.

LCM(84693,84707) = 3¹ × 7¹ × 37¹ × 109¹ × 12101¹
LCM(84693,84707) = 1024869993